{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-knK4sZodDZg"
      },
      "source": [
        "##### Copyright 2018 The TensorFlow Probability Authors.\n",
        "\n",
        "Licensed under the Apache License, Version 2.0 (the \"License\");"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "cellView": "form",
        "id": "zAM8G9A4dF4R"
      },
      "outputs": [],
      "source": [
        "#@title Licensed under the Apache License, Version 2.0 (the \"License\"); { display-mode: \"form\" }\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cPw5xFcq1kpw"
      },
      "source": [
        "# Eight schools\n",
        "\n",
        "<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
        "  <td>\n",
        "    <a target=\"_blank\" href=\"https://www.tensorflow.org/probability/examples/Eight_Schools\"><img src=\"https://www.tensorflow.org/images/tf_logo_32px.png\" />View on TensorFlow.org</a>\n",
        "  </td>\n",
        "  <td>\n",
        "    <a target=\"_blank\" href=\"https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb\"><img src=\"https://www.tensorflow.org/images/colab_logo_32px.png\" />Run in Google Colab</a>\n",
        "  </td>\n",
        "  <td>\n",
        "    <a target=\"_blank\" href=\"https://github.com/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb\"><img src=\"https://www.tensorflow.org/images/GitHub-Mark-32px.png\" />View source on GitHub</a>\n",
        "  </td>\n",
        "  <td>\n",
        "    <a href=\"https://storage.googleapis.com/tensorflow_docs/probability/tensorflow_probability/examples/jupyter_notebooks/Eight_Schools.ipynb\"><img src=\"https://www.tensorflow.org/images/download_logo_32px.png\" />Download notebook</a>\n",
        "  </td>\n",
        "</table>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5MzjGu_O7HwY"
      },
      "source": [
        "The eight schools problem ([Rubin 1981](https://www.jstor.org/stable/1164617)) considers the effectiveness of SAT coaching programs conducted in parallel at eight schools. It has become a classic problem ([Bayesian Data Analysis](http://www.stat.columbia.edu/~gelman/book/), [Stan](https://github.com/stan-dev/rstan/wiki/RStan-Getting-Started)) that illustrates the usefulness of hierarchical modeling for sharing information between exchangeable groups.\n",
        "\n",
        "The implemention below is an adaptation of an Edward 1.0 [tutorial](https://github.com/blei-lab/edward/blob/master/notebooks/eight_schools.ipynb)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TNuvn0Ih4D_R"
      },
      "source": [
        "# Imports"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "XMTEI6ep4D_S"
      },
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import seaborn as sns\n",
        "\n",
        "import tensorflow.compat.v2 as tf\n",
        "import tensorflow_probability as tfp\n",
        "from tensorflow_probability import distributions as tfd\n",
        "import warnings\n",
        "\n",
        "tf.enable_v2_behavior()\n",
        "\n",
        "plt.style.use(\"ggplot\")\n",
        "warnings.filterwarnings('ignore')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cIbNcemwwO2y"
      },
      "source": [
        "# The Data\n",
        "\n",
        "From Bayesian Data Analysis, section 5.5 (Gelman et al. 2013):\n",
        "\n",
        "> *A study was performed for the Educational Testing Service to analyze the effects of special coaching programs for SAT-V (Scholastic Aptitude Test-Verbal) in each of eight high schools. The outcome variable in each study was the score on a special administration of the SAT-V, a standardized multiple choice test administered by the Educational Testing Service and used to help colleges make admissions decisions; the scores can vary between 200 and 800, with mean about 500 and standard deviation about 100. The SAT examinations are designed to be resistant to short-term efforts directed specifically toward improving performance on the test; instead they are designed to reflect knowledge acquired and abilities developed over many years of education. Nevertheless, each of the eight schools in this study considered its short-term coaching program to be very successful at increasing SAT scores. Also, there was no prior reason to believe that any of the eight programs was more effective than any other or that some were more similar in effect to each other than to any other.*\n",
        "\n",
        "\n",
        "For each of the eight schools ($J = 8$), we have an estimated treatment effect $y_j$ and a standard error of the effect estimate $\\sigma_j$. The treatment effects in the study were obtained by a linear regression on the treatment group using PSAT-M and PSAT-V scores as control variables. As there was no prior belief that any of the schools were more or less similar or that any of the coaching programs would be more effective, we can consider the treatment effects as [exchangeable](https://en.wikipedia.org/wiki/Exchangeable_random_variables)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "rSngqHwAKv_j"
      },
      "outputs": [
        {
          "data": {
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S09M1e/Zs77F79+6t7du3q1+/fgEti02dOlUvvfSSHn/8cZWUlKhjx45asGCB2rVrJ0lq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\nYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x258c6b7f1590>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "num_schools = 8  # number of schools\n",
        "treatment_effects = np.array(\n",
        "    [28, 8, -3, 7, -1, 1, 18, 12], dtype=np.float32)  # treatment effects\n",
        "treatment_stddevs = np.array(\n",
        "    [15, 10, 16, 11, 9, 11, 10, 18], dtype=np.float32)  # treatment SE\n",
        "\n",
        "fig, ax = plt.subplots()\n",
        "plt.bar(range(num_schools), treatment_effects, yerr=treatment_stddevs)\n",
        "plt.title(\"8 Schools treatment effects\")\n",
        "plt.xlabel(\"School\")\n",
        "plt.ylabel(\"Treatment effect\")\n",
        "fig.set_size_inches(10, 8)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "S6Yj8WEDwI3L"
      },
      "source": [
        "# Model\n",
        "\n",
        "To capture the data, we use a hierarchical normal model. It follows the generative process,\n",
        "\n",
        "$$\n",
        "\\begin{align*}\n",
        "\\mu &\\sim \\text{Normal}(\\text{loc}{=}0,\\ \\text{scale}{=}10) \\\\\n",
        "\\log\\tau &\\sim \\text{Normal}(\\text{loc}{=}5,\\ \\text{scale}{=}1) \\\\\n",
        "\\text{for } & i=1\\ldots 8:\\\\\n",
        "& \\theta_i \\sim \\text{Normal}\\left(\\text{loc}{=}\\mu,\\ \\text{scale}{=}\\tau \\right) \\\\\n",
        "& y_i \\sim \\text{Normal}\\left(\\text{loc}{=}\\theta_i,\\ \\text{scale}{=}\\sigma_i \\right)\n",
        "\\end{align*}\n",
        "$$\n",
        "\n",
        "where $\\mu$ represents the prior average treatment effect and $\\tau$ controls how much variance there is between schools. The $y_i$ and $\\sigma_i$ are observed. As $\\tau \\rightarrow \\infty$, the model approaches the no-pooling model, i.e., each of the school treatment effect estimates are allowed to be more independent. As $\\tau \\rightarrow 0$, the model approaches the complete-pooling model, i.e., all of the school treatment effects are closer to the group average $\\mu$. To restrict the standard deviation to be positive, we draw $\\tau$ from a lognormal distribution (which is equivalent to drawing $log(\\tau)$ from a normal distribution).\n",
        "\n",
        "Following [Diagnosing Biased Inference with Divergences](http://mc-stan.org/users/documentation/case-studies/divergences_and_bias.html), we transform the model above into an equivalent non-centered model:\n",
        "\n",
        "$$\n",
        "\\begin{align*}\n",
        "\\mu &\\sim \\text{Normal}(\\text{loc}{=}0,\\ \\text{scale}{=}10) \\\\\n",
        "\\log\\tau &\\sim \\text{Normal}(\\text{loc}{=}5,\\ \\text{scale}{=}1) \\\\\n",
        "\\text{for } & i=1\\ldots 8:\\\\\n",
        "& \\theta_i' \\sim \\text{Normal}\\left(\\text{loc}{=}0,\\ \\text{scale}{=}1 \\right) \\\\\n",
        "& \\theta_i = \\mu + \\tau \\theta_i' \\\\\n",
        "& y_i \\sim \\text{Normal}\\left(\\text{loc}{=}\\theta_i,\\ \\text{scale}{=}\\sigma_i \\right) \n",
        "\\end{align*}\n",
        "$$\n",
        "\n",
        "We reify this model as a [JointDistributionSequential](https://www.tensorflow.org/probability/api_docs/python/tfp/distributions/JointDistributionSequential) instance:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "EiEtvl1zokAG"
      },
      "outputs": [],
      "source": [
        "model = tfd.JointDistributionSequential([\n",
        "  tfd.Normal(loc=0., scale=10., name=\"avg_effect\"),  # `mu` above\n",
        "  tfd.Normal(loc=5., scale=1., name=\"avg_stddev\"),  # `log(tau)` above\n",
        "  tfd.Independent(tfd.Normal(loc=tf.zeros(num_schools),\n",
        "                             scale=tf.ones(num_schools),\n",
        "                             name=\"school_effects_standard\"),  # `theta_prime` \n",
        "                  reinterpreted_batch_ndims=1),\n",
        "  lambda school_effects_standard, avg_stddev, avg_effect: (\n",
        "      tfd.Independent(tfd.Normal(loc=(avg_effect[..., tf.newaxis] +\n",
        "                                      tf.exp(avg_stddev[..., tf.newaxis]) *\n",
        "                                      school_effects_standard),  # `theta` above\n",
        "                                 scale=treatment_stddevs),\n",
        "                      name=\"treatment_effects\",  # `y` above\n",
        "                      reinterpreted_batch_ndims=1))\n",
        "])\n",
        "\n",
        "def target_log_prob_fn(avg_effect, avg_stddev, school_effects_standard):\n",
        "  \"\"\"Unnormalized target density as a function of states.\"\"\"\n",
        "  return model.log_prob((\n",
        "      avg_effect, avg_stddev, school_effects_standard, treatment_effects))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jnVK-1yH9WCY"
      },
      "source": [
        "# Bayesian Inference\n",
        "\n",
        "Given data, we perform Hamiltonian Monte Carlo (HMC) to calculate the posterior distribution over the model's parameters."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "-66vCUVrQRnb"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.5974\n"
          ]
        }
      ],
      "source": [
        "num_results = 5000\n",
        "num_burnin_steps = 3000\n",
        "\n",
        "# Improve performance by tracing the sampler using `tf.function`\n",
        "# and compiling it using XLA.\n",
        "@tf.function(autograph=False, experimental_compile=True)\n",
        "def do_sampling():\n",
        "  return tfp.mcmc.sample_chain(\n",
        "      num_results=num_results,\n",
        "      num_burnin_steps=num_burnin_steps,\n",
        "      current_state=[\n",
        "          tf.zeros([], name='init_avg_effect'),\n",
        "          tf.zeros([], name='init_avg_stddev'),\n",
        "          tf.ones([num_schools], name='init_school_effects_standard'),\n",
        "      ],\n",
        "      kernel=tfp.mcmc.HamiltonianMonteCarlo(\n",
        "          target_log_prob_fn=target_log_prob_fn,\n",
        "          step_size=0.4,\n",
        "          num_leapfrog_steps=3))\n",
        "\n",
        "states, kernel_results = do_sampling()\n",
        "\n",
        "avg_effect, avg_stddev, school_effects_standard = states\n",
        "\n",
        "school_effects_samples = (\n",
        "    avg_effect[:, np.newaxis] +\n",
        "    np.exp(avg_stddev)[:, np.newaxis] * school_effects_standard)\n",
        "\n",
        "num_accepted = np.sum(kernel_results.is_accepted)\n",
        "print('Acceptance rate: {}'.format(num_accepted / num_results))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "2-iMMOcFvE03"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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ASo+G8fHxyuuJiYla2lbG3rubN29qGGcPHjxAWlqa8nfIMQw3sMyAUaNGYd++fbhz5w6i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\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DTkp57ejuXMvRID8qid98aXxitbd4unkJzLtn9omIMIgbluguY4OasJtTYA0JAu5cBapU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\nNgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x258c6b4c2710>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(8, 2, sharex='col', sharey='col')\n",
        "fig.set_size_inches(12, 10)\n",
        "for i in range(num_schools):\n",
        "  axes[i][0].plot(school_effects_samples[:,i].numpy())\n",
        "  axes[i][0].title.set_text(\"School {} treatment effect chain\".format(i))\n",
        "  sns.kdeplot(school_effects_samples[:,i].numpy(), ax=axes[i][1], shade=True)\n",
        "  axes[i][1].title.set_text(\"School {} treatment effect distribution\".format(i))\n",
        "axes[num_schools - 1][0].set_xlabel(\"Iteration\")\n",
        "axes[num_schools - 1][1].set_xlabel(\"School effect\")\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "l4t9XLxSszBe"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "E[avg_effect] = 5.57183933258\n",
            "E[avg_stddev] = 2.47738981247\n",
            "E[school_effects_standard] =\n",
            "0.08509017\n",
            "E[school_effects] =\n",
            "[15.0051     7.103311   2.4552586  6.2744603  1.3364682  3.1125953\n",
            " 12.762501   7.743602 ]\n"
          ]
        }
      ],
      "source": [
        "print(\"E[avg_effect] = {}\".format(np.mean(avg_effect)))\n",
        "print(\"E[avg_stddev] = {}\".format(np.mean(avg_stddev)))\n",
        "print(\"E[school_effects_standard] =\")\n",
        "print(np.mean(school_effects_standard[:, ]))\n",
        "print(\"E[school_effects] =\")\n",
        "print(np.mean(school_effects_samples[:, ], axis=0))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Wxp1uFW6RWMW"
      },
      "outputs": [],
      "source": [
        "# Compute the 95% interval for school_effects\n",
        "school_effects_low = np.array([\n",
        "    np.percentile(school_effects_samples[:, i], 2.5) for i in range(num_schools)\n",
        "])\n",
        "school_effects_med = np.array([\n",
        "    np.percentile(school_effects_samples[:, i], 50) for i in range(num_schools)\n",
        "])\n",
        "school_effects_hi = np.array([\n",
        "    np.percentile(school_effects_samples[:, i], 97.5)\n",
        "    for i in range(num_schools)\n",
        "])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "yY-qBFTotd3F"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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atmz5yv1pOoY5IiIiqhC5ubl4+PAh2rdvDzMzs1LbKoKm3fS5MjHMERERaYhz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\ngg==\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x258c6b228650>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, ax = plt.subplots(nrows=1, ncols=1, sharex=True)\n",
        "ax.scatter(np.array(range(num_schools)), school_effects_med, color='red', s=60)\n",
        "ax.scatter(\n",
        "    np.array(range(num_schools)) + 0.1, treatment_effects, color='blue', s=60)\n",
        "\n",
        "plt.plot([-0.2, 7.4], [np.mean(avg_effect),\n",
        "                       np.mean(avg_effect)], 'k', linestyle='--')\n",
        "\n",
        "ax.errorbar(\n",
        "    np.array(range(8)),\n",
        "    school_effects_med,\n",
        "    yerr=[\n",
        "        school_effects_med - school_effects_low,\n",
        "        school_effects_hi - school_effects_med\n",
        "    ],\n",
        "    fmt='none')\n",
        "\n",
        "ax.legend(('avg_effect', 'HMC', 'Observed effect'), fontsize=14)\n",
        "\n",
        "plt.xlabel('School')\n",
        "plt.ylabel('Treatment effect')\n",
        "plt.title('HMC estimated school treatment effects vs. observed data')\n",
        "fig.set_size_inches(10, 8)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2dV93ZSzGSIm"
      },
      "source": [
        "We can observe the shrinkage toward the group `avg_effect` above."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "LcljZ1prD91d"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Inferred posterior mean: 6.97\n",
            "Inferred posterior mean se: 10.41\n"
          ]
        }
      ],
      "source": [
        "print(\"Inferred posterior mean: {0:.2f}\".format(\n",
        "    np.mean(school_effects_samples[:,])))\n",
        "print(\"Inferred posterior mean se: {0:.2f}\".format(\n",
        "    np.std(school_effects_samples[:,])))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vWPCzgk7IMgt"
      },
      "source": [
        "# Criticism\n",
        "\n",
        "To get the posterior predictive distribution, i.e., a model of new data $y^*$ given the observed data $y$:\n",
        "\n",
        "$$ p(y^*|y) \\propto \\int_\\theta p(y^* | \\theta)p(\\theta |y)d\\theta$$\n",
        "\n",
        "we override the values of the random variables in the model to set them to the mean of the posterior distribution, and sample from that model to generate new data $y^*$."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "6eV4Cx0HQeMU"
      },
      "outputs": [],
      "source": [
        "sample_shape = [5000]\n",
        "\n",
        "_, _, _, predictive_treatment_effects = model.sample(\n",
        "    value=(tf.broadcast_to(np.mean(avg_effect, 0), sample_shape),\n",
        "           tf.broadcast_to(np.mean(avg_stddev, 0), sample_shape),\n",
        "           tf.broadcast_to(np.mean(school_effects_standard, 0),\n",
        "                           sample_shape + [num_schools]),\n",
        "           None))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "y3c8W--fPmph"
      },
      "outputs": [
        {
          "data": {
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GcQ268XmuQeaJB2idzMXFBUSEyspK+Pr6wsnJCSqVCiEhIe3qr3///nByckJmZqbeB8eB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\np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5+fX7G3qTVIFZecO4v1+v+DqtUwMTdpz4EyYmoFQt8h9q6OG9bZr2NXqgyUtAa51MXR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\nc+ZMRo0aRVhYGNHR0SQnJzN58mSMMcTGx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/GYzl2huhoKjtsdRSmlVCOSLe+DZUFcon0h\norpCmBPJ2mhfBqWaEe2gKXUrij6D0iJMz952J6mp85WJQvJsDqKUUqoxyZYPIboPJrSjbRmMMe6z\naIf3IyXe939SSt0a7aApdQvkwJfXn3XpZm+Qa3UMg6DWkK83rFZKqZZCCgvgZD6mX7LdUeDLDJL9\nvs1BlPJ/2kFT6lbsz3XPmmjjN5XXY4wDIl3I8SN2R1FKKdVIZHu2+0ETGNVhOoZD155I9vuIiN1x\nlPJr2kFTqo6uXH9mesW7Z05sajq7oOA4Ul1tdxKllFKNQD7Jgu6xmPYhdkcBvpwspLAAdFZhpepF\nO2hK1dVnJ6H8C+jey+4k12U6u+DyJXdOpZRSzZqUFMHRQ01jeOMVcYkQ0Aprs04WolR91OlG1adP\nnyYjI4PKykpCQkKYNWsWUVFRNcpYlsXKlSvZuXMnDoeDSZMmkZ6eDsC6devIysoiICCAgIAAvvGN\nb5Cc7H5DWbNmDRs2bCA8PByAuLg4HnvssYbcR6UahOzPdT/o0tXeIDfimSjkEKZrT5vDKKWU8iXJ\n3ep+EG3/8MYrTJu2SK942PoRMvUxTKtAuyMp5Zfq1EFbsWIF48ePZ8SIEWzatInly5ezYMGCGmUy\nMzMpLCxkyZIllJeXM2/ePJKSknA6nfTp04cHHniAoKAgjh07xnPPPcfy5csJDHS/cO+66y6mT5/e\n8HunVAOS/bkQ7oT2oXZHub4wJ7QKhGN5kHa33WmUUkr5kOzaDs7Ots7eeD0mYRBycDfs3g4DU+2O\no5RfqnWIY3l5Ofn5+aSlpQGQlpZGfn4+FRUVNcplZWUxduxYAEJDQxk2bBjZ2e6LV5OSkggKCgKg\nZ8+eiEiN9fViUtXUiWXBwd2YmLimef0ZYBwO6BSFHM+3O4pSSikfkosXYH8uxs57n91IdB9oF4yV\n+a7dSZTyW7WeQSsuLiY8PNzzodThcBAWFkZJSQkhISE1ynXq1Mnzu9PppKSkxKu+Dz74gKioKM+Q\nRnB37nJzc+nYsSNTpkyhb9++9doppRrc6RNQWQHdYuxOcnORXeDAbkSkyXYklVJK1dOBXXDpIvRo\netdEm4AApN9A2LEFqSzHNNVRJ0o1YXUa4thQ9u7dy5o1a3jmmWc8y8aNG8fDDz+Mw+EgNzeXF198\nkZdeeon27dt7rV9VVUVVVZXX8sjISJ/mVkoO7nY/iGqi1599yUR2QXZuhZJCcHa2O45Stiks9L5Z\nbnBwMMHBwbddp7ZBqqmQXdvc976Mctkd5bpMwiBk+2Zk60eY9PvtjqNUo6tvG1RrB83pdFJaWur5\nRt6yLMrKyoiIiPAqV1RURGxsLOB9Ru3gwYMsXbqUH/zgBzUmGOnQoYPncVJSEhEREZw4cYJ+/fp5\nZVm/fj1r1671Wr569Wpcrqb5JnU9mtU3fJm1+FgeF5yRhEfH0BDnpa59/TSUS33i+eKdvxFWUUa7\npEENVq8eB76hWX1n9uzZXssmT57M1KlTb7tObYMan2b1JiKc3ruDgP7JdIi8/S/ifNUOfVk5pV26\n4dj6IVHT/6Pe1elx4Bv+lBX8K29926BaO2ihoaFER0eTmZnJyJEjyczMJCYmpsbwRoDU1FQ2btxI\nSkoKFRUV5OTk8PzzzwOQl5fH4sWLefLJJ4mOjq6xXmlpqWe449GjRykqKrrhf8DEiRMZPXr0dZ8r\nKCiobVeaBJfLpVl9wJdZRQQrdxumT39KrzNs91ZFRERcd/hvQ5DANmAMJTty+CImvkHq1OPANzSr\n77hcLpYuXeq1vD5nz0DboMamWa9PTp/E+rwAa9io225LfNkOXSFxSVR/8Bantn+M6dL9tuvR48A3\n/Ckr+FfehmiD6jTEcebMmWRkZLBu3TqCg4OZM2cOAIsWLWLatGnExsYyatQo8vLymDt3LsYYpkyZ\n4hn28corr3Dp0iVWrFjhORM3e/ZsunfvzqpVq8jPz8cYQ2BgIHPmzKlxVu3aHatvA6vULTt9AirO\nNP3rzwATGISEd4JjepNQ1bL5YtihtkGqKZBd29wPmvrtVPolw4f/wvpoAwHTvmt3GqUaVX3boDp1\n0FwuFwsXLvRaPn/+fM9jh8PBjBkzrrv+okWLblj3rFmz6hJBKdt4rj/r3LSvP/OI7AInj9qdQiml\nlA/I7u0Q1Q0T0rQn3zDB7ZG+CbD5HWTSI5g2be2OpJTfqHWafaVavAO7oWM4hF7/zG5TYyK7wJlS\npLLc7ihKKaUakJw/Cwf3YPr2tztKnZjBd8C5s0j2+3ZHUcqvaAdNqZsQEeTgbkxMX/+Ztj6yi/vf\nE3o/NKWUalb25UL1ZejR2+4kdePqAVFdkXffdN9PVClVJ9pBU+pmPjsF5V9At1i7k9RdJ3cHTY7m\n2RxEKaVUQ5LcHGjT9qsv4po4Ywxm8J1QWAB7PrU7jlJ+QztoSt2E311/Bph2wRDSAY5rB00ppZoL\nsSxk1zZM3wEYhx99fIsbAMEhWO+8YXcSpfyGH73ClbLBwd3QIQxuMLNokxXZBTlx1O4USimlGsqx\nw3CmDHp73ye2KTMBrTADh8O+nUjBcbvjKOUXtIOm1A2ICHLAz64/uyKyCxQWIBfO251EKaVUA5Dc\nrWAcTX96/etJToGAVljvvml3EqX8gnbQlLqRwtNwptQv7n92LRPVFUTg+BG7oyillGoAsnMrRPfB\ntG5jd5RbZtoFu++Llv0+UqEzDCtVG+2gKXUDcmCX+0FUN3uD3I4vM8uRAzYHUUopVV9SWgwn8jFx\nCXZHuW1maBpcvoR8sN7uKEo1eXW6UfXp06fJyMigsrKSkJAQZs2aRVRUVI0ylmWxcuVKdu7cicPh\nYNKkSaSnpwOwbt06srKyCAgIICAggG984xskJyfXup5Stjq42z3ZRoeOdie5ZSY4BAnpCNpBU0op\nvye5Oe4H3f1oRuFrGGdnJKYv8t56ZPzDmMAguyMp1WTVqYO2YsUKxo8fz4gRI9i0aRPLly9nwYIF\nNcpkZmZSWFjIkiVLKC8vZ968eSQlJeF0OunTpw8PPPAAQUFBHDt2jOeee47ly5cTGBh40/WUsovn\n+rPYOP+7/uyKqK7I0UN2p1BKKVVPkpsDzs4Q6n9fGF7NDB2BrFmJZL+PGXWv3XGUarJqHeJYXl5O\nfn4+aWlpAKSlpZGfn09FRUWNcllZWYwdOxaA0NBQhg0bRnZ2NgBJSUkEBbm/KenZsyci4ln/Zusp\nZZuiz+CLEr+8/uwK06UblBYhlTreXyml/JVcOA/7dmLiEv33C8MresRCpyhkwxt642qlbqLWM2jF\nxcWEh4d73hQcDgdhYWGUlJQQEhJSo1ynTp08vzudTkpKSrzq++CDD4iKiiI8PPyW1gOoqqqiqqrK\na3lkZGRtu6HULfHc/6yL/9z/zMuVa+eOHoIBQ+zNolQjKyws9FoWHBxMcHDwbdepbZCyxb6dcPkS\nJqaP3UnqzRgDw0Yib62BPZ9A4lC7IynlE/Vtg+o0xLGh7N27lzVr1vDMM8/c1vrr169n7dq1XstX\nr16Ny+Wqb7xGo1l9oyGzlpw4zPkOYYTF9sHhg28sIyIiGrzOa1kOCEv8AAAgAElEQVTtgykxhuDP\nT9Fx3AP1qqulHge+pll9Z/bs2V7LJk+ezNSpU2+7Tm2DGp9mhdK1ezjbLpiwuAQcrRruY1tjtEPX\nI3eOpjTzHVq99w863/tgndbR48A3/Ckr+Ffe+rZBtb7SnU4npaWliAjGGCzLoqyszOuF7XQ6KSoq\nIjbWfQHrtWfGDh48yNKlS/nBD35QY4KR2ta72sSJExk9evR1nysoKKhtV5oEl8ulWX2gobNW78iB\nnr0oKy1tsDqviIiIuOFZ4gYX3omKXds5W4+/TUs+DnxJs/qOy+Vi6dKlXsvrc/YMtA1qbJoVpLoa\nK+t9TJ8Eys6cabB6G7Udug5JHs7FTW9zKmcLpmuPm5bV48A3/Ckr+FfehmiDar0GLTQ0lOjoaDIz\nMwH3ZCAxMTE1hjcCpKamsnHjRkSE8vJycnJyGD58OAB5eXksXryYJ598kujo6Dqvd70di4yM9PpR\nqiFJSSGUFmH8+Pozj6hucOwwImJ3EqUa1fXaivp20LQNUo3uwC6oOIOJT7I7ScNKHAIBAVgf/tPu\nJEr5RH3boDqdK585cyYZGRmsW7eO4OBg5syZA8CiRYuYNm0asbGxjBo1iry8PObOnYsxhilTpnga\nrldeeYVLly6xYsUKz5m42bNn071795uup5Qd5NBe94POfnz92ZdMVFdkzydQWgwR1z8zrZRSqmmS\nbZnQug3SpTt+Pj1IDaZdMNJ3gPvG1Q9/xy9vvq2UL9Wpg+ZyuVi4cKHX8vnz53seOxwOZsyYcd31\nFy1adMO6b7aeUrbI2wtt2kKYPePzG1SXKxOFHNQOmlJK+RG5fBn5JBuTMAjTgNeeNRUmOQXZtxPZ\n+hFm5Di74yjVpNQ6xFGplkby9kHP3hhHM3h5dIqCgADk0D67kyillLoV+3ZCVQUmrpkNb7yia0+I\niEQ2bbA7iVJNTjP4BKpUw5GqCjh1rHlcfwaYgFbQuStyWDtoSinlT2RbJrRth1y5ZUozY4zBJAyC\n/INIoX9M/qBUY9EOmlJXy9vv/jfK/68/8+gWDSeOIBcv2J1EKaVUHcilS8inWzD9B2ECmvFHtX7J\ngMHavNHuJEo1Kc34Va/UrZO8vRAQ4B4a2EyYrj2huhryD9odRSmlVF3s/RTOVWHiEu1O4lMmpAP0\n7AVb3kcsy+44SjUZ2kFT6ipyaA90j2leF2R37QkY5MAuu5MopZSqA8nZBO3aI81pNMcNmIRB7pmG\n8/baHUWpJkM7aEp9SS5egKN5mO6xdkdpUKZNW+jUGTmw2+4oSimlaiEXLiA7t7pnb2wOk1XVpnd/\nCAxCMt+xO4lSTUYLeOUrVUdH86D68ldT0zcn3WLcF2JfvmR3EqWUUjchO7bA+XPN7+bUN2CCgqDv\nAOSTbOSCXiutFNTxPminT58mIyODyspKQkJCmDVrFlFRNa/RsSyLlStXsnPnThwOB5MmTSI9PR2A\n3NxcVq1axfHjx5kwYQLTp0/3rLdmzRo2bNhAeHg4AHFxcTz22GMNtX9K1ZlcGV4R6bI3iA+YnrHI\np9lw5AD0HWB3HKWUUjcgW96HMCcSGdWsbk59MyZhELLnE2THFszwu+yOo5Tt6tRBW7FiBePHj2fE\niBFs2rSJ5cuXs2DBghplMjMzKSwsZMmSJZSXlzNv3jySkpJwOp107tyZxx9/nI8//phLl7y/wb/r\nrrtqdNqUsoMc2gudu7qHBDY33WPBGKw9nxKgHTSllGqS5ItS2LMDM3o8xrSgQU7doyGkI7L5XdAO\nmlK1D3EsLy8nPz+ftLQ0ANLS0sjPz6eioqJGuaysLMaOHQtAaGgow4YNIzs7G4DOnTsTHR2N4wZj\nqUWkXjuhVH2JVQ2H92N69rI7ik+Y1m0gqhvs3WF3FKWUUjcgH38IYkHfBLujNCpjHNA/Gfbnujup\nSrVwtXbQiouLCQ8Pxxj3iXaHw0FYWBglJSVe5Tp16uT53el0epW5kaysLL7//e+zcOFCDh7UqcCV\nDQqOw7kqcPWwO4nv9OwFxw8jZ6vsTqKUUuoaIoJkvwc9e2NCOtodp9GZ/oNABNn6kd1RlLKd7XOJ\njxs3jocffhiHw0Fubi4vvvgiL730Eu3bt/cqW1VVRVWV94fLyMjIxoiqmjE5tM/9oBlef3aF6dkb\n2fIB7N8Jg++0O45SPlVYWOi1LDg4mODg4NuuU9sg5VMn8uHUMcwD37Q7iS1MRCekc1d3J3Xc1+yO\no1S91LcNqrWD5nQ6KS0tRUQwxmBZFmVlZURERHiVKyoqIjbWPUX5tWfUbqRDhw6ex0lJSURERHDi\nxAn69evnVXb9+vWsXbvWa/nq1atxufzng7Vm9Y36ZC05eYTzYRGERcfgML6/LPva109jkI4dKflb\nW1rvz8V5/+RbWrelHAeNTbP6zuzZs72WTZ48malTp952ndoGNb6WlLVs/Z+obNWKsMEpBDTCtdB2\ntEO1OTvsTqr+sQbnxbMERff2LG9Jx0Fj8qes4F9569sG1dpBCw0NJTo6mszMTEaOHElmZiYxMTGE\nhITUKJeamsrGjRtJSUmhoqKCnJwcnn/+ea/6rr3erLS01DOD49GjRykqKrrhf8DEiRMZPXr0dZ8r\nKCiobVeaBJfLpVl9oD5ZRQRr1yeY7rGUlfp+7HtERESdh/82NOnZm3M5mZw6ebLO99dpKcdBY9Os\nvuNyuVi6dKnX8vqcPQNtgxpbS8oq1dVYG9dDv4F8UXUWqs42YDpvdrZDNyPde4Nx8PmbqwmY/CjQ\nso6DxuRPWcG/8jZEG1SnIY4zZ84kIyODdevWERwczJw5cwBYtGgR06ZNIzY2llGjRpGXl8fcuXMx\nxjBlyhTPsI/9+/fz8ssvc+7cOUSErKwsnnjiCZKSkli1ahX5+fkYYwgMDGTOnDk1zqpdu2P1bWCV\n8lJSCGXFcGe63Ul8zvSKRw7sgmOHIaaP3XGU8hlfDDvUNkj5zO5PoOIMjoRBdiexlQluj0T3ho8/\nRB76dsu4UbdqlurbBtWpg+ZyuVi4cKHX8vnz53seOxwOZsyYcd314+PjWbZs2XWfmzVrVl0iKOUz\ncnCP+0HnrvYGaQwxfd3T7e/YQoB20JRSqkmwMjdASAfE1aPF3PvsRkz/gcj61XBoD8Ql2h1HKVvo\nVxNK5e2FtsEQ1vTG4zc007YddIuBbZv19hZKKdUEyBelkJuDGXKHnjEC6N0PglpjZb1ndxKlbKPv\nBKrFk4N7ILqP51YSzZ2JGwCFBXDqqN1RlFKqxZOsjWBZEJ9sd5QmwQQGQZ8E+CQLuXjB7jhK2UI7\naKpFk/Iy+PwUpkes3VEaT98B7mGOWzfZnUQppVo0sSwk8x3o1Q/TPtTuOE2G6T8Qzp9DdubYHUUp\nW2gHTbVsh/a6/+3Szd4cjci0C4YesbAtU4c5KqWUnQ7uhqLPMANT7E7StHSPgfahSNa7didRyhba\nQVMtmhzaC4FBEO60O0qjMnGJUPQZnDhidxSllGqxZNM70LYddO9ld5QmxTgc0C8Z9u6k+kyZ3XGU\nanTaQVMtmhzcDdG9MY4Au6M0rj4JYBw6zFEppWwiVRXIJ1mYQamYVi2sDaoD038gWNVUffi23VGU\nanTaQVMtlpytgpNHMd1b0PVnXzJt20HPXpCzSYc5KqWUDST7fbh8SScHuQHTKQoiu1D19t/sjqJU\no9MOmmq5Du8DEejS3e4ktjBxA6C0CPIP2h1FKaVaFLEs5P23oGdvTAsbYn8rTOJQLh89hBzLszuK\nUo2qTjeqPn36NBkZGVRWVhISEsKsWbOIioqqUcayLFauXMnOnTtxOBxMmjSJ9PR0AHJzc1m1ahXH\njx9nwoQJTJ8+vU7rKeVLcnAPOALA2dnuKPboOwA2/h1r80YCYuPsTqOUUi3H3k+hsAAz+d/tTtK0\n9UuGj/6F9eG/CPj2bLvTKNVo6nQGbcWKFYwfP57Fixczbtw4li9f7lUmMzOTwsJClixZwk9+8hPW\nrFlDcXExAJ07d+bxxx/nwQcfvKX1lPIl2fup+/qzwEC7o9jCtG7jvhYtZxNy6ZLdcZRSqsWw3lsP\noR2hR4zdUZo006YtrROHwNaPkPPn7I6jVKOptYNWXl5Ofn4+aWlpAKSlpZGfn09FRUWNcllZWYwd\nOxaA0NBQhg0bRnZ2NuDuoEVHR+NweG/uZusp5StSXgbHj2B6xdsdxVYmYRCcq4LcrXZHUUqpFkEK\nC2D3dsywkS1vgqrb0DZlJFw4j2z5wO4oSjWaWjtoxcXFhIeHY4xxr+BwEBYWRklJiVe5Tp06eX53\nOp1eZW5U/+2sp1R9yN4d7gfdWvi3lz16QftQrE3v2J1EKaVaBHn/LTAO6D/Q7ih+oVWPWIjsgmx8\nUye1Ui1Gna5BayqqqqqoqqryWh4ZGWlDGuXX9nwK7UMhPMLuJLYyDgfSf6D7ptVnyjAdwuyOpFSD\nKCws9FoWHBxMcHDwbdepbZCqLzl/Dtn8LiZ5mHuYuaqVMQYz+E7kX+tg3w7oP8juSErVqr5tUK0d\nNKfTSWlpKSKCMQbLsigrKyMiIsKrXFFREbGx7inLrz0zdrP667re+vXrWbt2rdfy1atX43K5at1W\nU6FZfaOuWaW6moJ9O2k9YBAhztqPUV+49vVjp8tp6ZRt/Yj2ez+hw8Pfum6Z5ngcNAWa1Xdmz/ae\nUGDy5MlMnTr1tuvUNqjxNbeslevXUnbuLKGj7iHI5nagKbVDtYlIG01J5gYCP/wXkXdPtDvOTTW3\nY7Yp8ae89W2Dau2ghYaGEh0dTWZmJiNHjiQzM5OYmBhCQkJqlEtNTWXjxo2kpKRQUVFBTk4Ozz//\nvFd9156erut6ABMnTmT06NHXfa6goKC2XWkSXC6XZvWBW8kqB3ZhnSnjYvdetgynjYiIaFrDeAMC\noUt3yv/5FypT0z3Dma9orseB3TSr77hcLpYuXeq1vD5nz0DboMbW3LJKdTXW2t9D91jKW7XG2NgO\nNLl26CYiIiIoPVMOSSlcyNrIqa2bMU308oTmdsw2Jf6UtyHaoDoNcZw5cyYZGRmsW7eO4OBg5syZ\nA8CiRYuYNm0asbGxjBo1iry8PObOnYsxhilTpniGfezfv5+XX36Zc+fOISJkZWXxxBNPkJSUdNP1\nrrdj9W1glZLtmyEwCHH1wNRevEUwCYOQd9+E40fcN7BWys/5YtihtkGqPmRbJhSexjFtBhhtfW7Z\n4DtgWybWP/5MwH8+bXcapW6qvm1QnTpoLpeLhQsXei2fP3++57HD4WDGjBnXXT8+Pp5ly5Zd97mb\nradUQxPLQj7ZAvGJLXZ6/euKT4L338La/C4B2kFTSqkGJZaF/HMtRHVDukfrl4O3wbRpiwxKdU+5\nf/okpks3uyMp5TN1ug+aUs3GoT1wphTTN9HuJE2KadMWevdzN3yX9Z5oSinVoHK3wqljmBH3YLR7\ndtvMkDRoFYj1xh/sjqKUT2kHTbUo8tEGaNsOukfbHaXJMQMGQ1UF8unHdkdRSqlmQ0Sw1q8BZ2fo\nGWt3HL9m2gVjho2AT7KRvL12x1HKZ7SDploMqapAPsnCDEzFtNLhjV6ie0NoGPLBeruTKKVU87Fv\nBxw9hEm7G2P0Y1e9DR3pvn/nn19BLMvuNEr5hL5TqBZDst6Dy5f0Hio3YIwDkzwMDu5BTp+0O45S\nSvk999mz1dAxHGLj7Y7TLJigIMyIe+DoIWTzu3bHUcontIOmWgS5fAl5928QG4cJC7c7TtM1YAg4\nHFgf/tPuJEop5f/2fAoH92BGjMME6EeuBpMwCLrFIGteRc6U2Z1GqQan7xaqRZCPP4LSYhypY+yO\n0qSZ4PbQJwGy3kMuXrA7jlJK+S2xLKx1v3dfe9a3v91xmhVjDGbc1+DiBazXf+N1j12l/J120FSz\nJ5cvI2+tga49EZ2Wt1YmOQXOVSHbNtsdRSml/JZ8/CGczMeMmYhxBNgdp9kx4U7MiLthx8dI5jt2\nx1GqQWkHTTV7krkBCgtwjBqP0ZuD1q57DIQ5kY1v6reSSil1G+TcWWTd76BHL+ihMzf6zNA06Nkb\n+dMK5DO9dlo1H3W6UfXp06fJyMigsrKSkJAQZs2aRVRUVI0ylmWxcuVKdu7cicPhYNKkSaSnp9f6\n3Jo1a9iwYQPh4e7rguLi4njssccach9VCybnziJvroJe8Yiru959pg6MMTDkTuTdN+Hgbuja1e5I\nSinlV+Tvq6D8CxyTHwX9YtBnjHHAhIeR3y/BWv4ijvm/xATqLM3K/9Wpg7ZixQrGjx/PiBEj2LRp\nE8uXL2fBggU1ymRmZlJYWMiSJUsoLy9n3rx5JCUl4XQ62bRp0w2fA7jrrruYPn16w++davHkH3+C\nynIcUx/TRvJWJAyGrPew3loDY+61O41SSvkNOX4Y2fh3TMooCHPaHafZM+1D4d6vI2/8EXnjdcyU\nf7c7klL1VusQx/LycvLz80lLSwMgLS2N/Px8KioqapTLyspi7NixAISGhjJs2DCys7MByM7OvuFz\ngA6jUj4hBcfdjeQwbSRvlQkMxAxOhb07uHDkoN1xlFLKL8ilS1grF0P7UBg+2u44LYbp3R+SU5AN\nf0X2fmp3HKXqrdYOWnFxMeHh4Z5rdxwOB2FhYZSUlHiV69Spk+d3p9PpKXOz58Ddufv+97/PwoUL\nOXhQPwyq+hMRrFXLoXUbGH6X3XH808BUCAyiYs3v7E6ilFJ+Qf7+v3DqGI77p2GCguyO06KY0RMg\nIhLrlcVIxRm74yhVL3Ua4uhL48aN4+GHH8bhcJCbm8uLL77ISy+9RPv27b3KVlVVUVVV5bU8MjKy\nMaIqf7J9M+zPxTz4CKZ1a7vT+CXTpi2SNIxzme/imDAF4+xsdySl6qywsNBrWXBwMMHBwbddp7ZB\n6mZkZw7yz3WY4XeBq4fdcVocExgEE6cif1yG9erLOOY8oxODKdvUtw2qtYPmdDopLS1FRDDGYFkW\nZWVlREREeJUrKioiNtY9W9HVZ81u9lyHDh08dSQlJREREcGJEyfo16+fV5b169ezdu1ar+WrV6/G\n5XLVaYebAs3qG1eyWufO8tm639Mqujcdho/A4Wh6k5Ve+/ppqqrvuZ/SHR/TZuObRPx/z9odp078\n8Zj1B/6UFWD27NleyyZPnszUqVNvu05tgxqfv2S9dOo48upiWkX3ocMDU3AE2P79d638pR2CW8ga\nEcHZCQ9T9Y/VhOR8SOjXHvFtsOvwl2MW/Csr+Ffe+rZBtb6DhIaGEh0dTWZmJiNHjiQzM5OYmBhC\nQkJqlEtNTWXjxo2kpKRQUVFBTk4Ozz//fK3PlZaWemZwPHr0KEVFRTf8D5g4cSKjR4++7nMFBQV1\n2mG7uVwuzeoDV2e1/vIaUvw5jvu/SVlZmc3JvEVERHgNEW7K2qaO4uzGf3B+1HhMl+52x7kpfz1m\nmzp/ygruvEuXLvVaXp+zZ6BtUGPzl6zyRQnmlz9CjKH6vsmUfdH0h9f5Uzt0q1klLgn25XJm5ctU\ndO6O6dnLh+lq8pdjFvwrK/hX3oZog+r0Fc/MmTPJyMhg3bp1BAcHM2fOHAAWLVrEtGnTiI2NZdSo\nUeTl5TF37lyMMUyZMsUz7ONmz61atYr8/HyMMQQGBjJnzpwaZ9Wu3bH6NrCqeZPTJ5ANb2CGpIGz\nU+0rqFq1Gz2Bczmbsda8SsDcBbWvoFQT4Ithh9oGqWvJF6VYLz2LOfMFjulPQDvvyzNU4zLGwPiH\nkd8vxVr+CxzPvIRp087uWKqFqW8bVKcOmsvlYuHChV7L58+f73nscDiYMWPGdde/2XOzZs2qSwSl\naiWWhfXaUmjTBu682+44zYajfQgmdQzy0b+QnVsxySl2R1JKKdvJZ6ewFj8LleWEznySijbaeW8q\nTNt2MHEKsvoVrD8swzHjSb0eTfmVpndxjlK3ST56G/L2Ye59GNNaZ89qUEPudM+O9b//jZw7a3ca\npZSylZWzCWvhk3D+HI7p/4egrjopSFNjusdg0sbC1g+R99fbHUepW6IdNNUsXC4uRP7ye+iTALF9\n7Y7T7JiAAMy4r0FZMdb//rfdcZRSyhZy6SLW679Blr8IUd0wj86BMP+ZbKPFGX4X9OqH/PkV5MBu\nu9MoVWfaQVN+T0QoW/ozuHwZc/eD6CAG3zBde0LqaNjyPtZHb9sdRymlGpUcOYC18Cnkw39hRk/A\nPPQopq0Oa2zKjHFg7psMHcOxfrMQOX3S7khK1Yl20JTfk3ff5HxOJuber2OC9QJtXzJ3jIGYvsgf\nlyG7ttsdRymlfE7On8P60wqsF34AVZU4pj+BGToCo5+g/IJp3Qbz0LcBg/Xyc0hpkd2RlKqVvr0o\nvya7P0HW/Y7WQ+6EuES74zR7xhGAuX8aODu7v438dIvdkZRSyidExH2t2bOzkY1/x9yR7h7SGNXN\n7mjqFpmO4ZiHvgWV5Vgv/lA7aarJ0w6a8luStxfrtz+HLt0JnvQNnaGpkZjWbTBTHoNOXbB+8zOs\nv/weuXzZ7lhKKdVgJP8g1s/nua81a9sOx6NzMXemY1oF2h1N3SYT1Q0z+VGoOIP1wg+QE/l2R1Lq\nhrSDpvySbMvE+vUC6NAR87XpBATqrI2NybRth5n6GCSnIP9ch/XifKTQP24gqZRS1yMiyP5cql9+\nHutn/z8UfYb5+rcw35gJzs52x1MNwHTpjpk2A6qrsX4+Dyv7fUTE7lhKeanTfdCUaiqkrAT5y2vI\nlvehZ2/MpH/DBGnnzA4mMAhzzySkewzyzt+wnp2NuWcS5r6pmDZt7Y6nlFJ1IlUVyPbNyEcb4Fge\nhHTA3DMJEgZjWunHpObGRHaBRx5H/rEaWfkSsmMLjsn/jukUZXc0pTzq9M5z+vRpMjIyqKysJCQk\nhFmzZhEVVfNAtiyLlStXsnPnThwOB5MmTSI9Pb1ezykFINXVkLcXyXoPydkEYmHS74eBwzEOPQls\nNxOfBN2ikcx3kH+uQza/h7n3a5hR92LatLM7nlJKeZHyMvc1zNuzYM+nUH0ZOnfFTPo36BWvbUsz\nZ9qHwtTHYFsmkv0+Vm4O5s6xmPT73TMWK2WzOnXQVqxYwfjx4xkxYgSbNm1i+fLlLFiwoEaZzMxM\nCgsLWbJkCeXl5cybN4+kpCScTiebNm26redUyyOXL0Px5/B5AXIyH8nbB4f3w7kqaN0GM/hOGHIH\npp3O1tiUmPahmPEPI0nD3B3pNa8i61djRo5zX1ivDZ5SykZy+TLkH0R2b0d2fwLHD7uf6Bjhvplx\nnwToGK7XMrcgxuGAlFHQLxn5+EMkayPy0dvQtScmaSimVz+IjcOEdLA7qmqBau2glZeXk5+fT1pa\nGgBpaWmsXLmSiooKQkJCPOWysrIYO3YsAKGhoQwbNozs7GweeOABsrOzb+s51TyJZUFZCXx+Cvm8\nwP1v4Wn4/JS7c2ZZXxWO6opJHIrp2Qtx9cAE6gXaTZlx9cBMfhQ5fQLZnoW88zfk7b9C9xjMgCGY\nvgPc30631TNrSinfEMuCkkL47CSSfxA5tBeOHICLF8DhgOg+mHGToFsshIVjdL78Fs2EdMDc/SBy\n51g4sAvJ24e8/QZirXMXCO8EkV3cQyAjIqF9qPuWPu3aQ+s2V/20xgrriFiWnoFV9VZrB624uJjw\n8K++VXI4HISFhVFSUlKjg1ZcXEynTp08vzudTkpKSur13LWqqqqoqqryWh4ZGVnbbigfEqsa9ufC\n+fPu4YjVl+Hqf89WQsUZ+KLU3SErPAUXL35VQVBr6BSF6dwV+g+Ejk4I6QAdwjBt2niK6fea/sN0\n6Y65fxpSNREO7UEO7kHe/ivyz7XuAh3C3A1exwgIbg/tQiA4GAJbQ0DAVz8AAoi4H8hVP3y53Bhw\nBIDDQVVEBNaZcnfjGOCAVoEQl6Qd+xaosLDQa1lwcDDBwbd/Y2FtgxqWFH0GBcfd7YRY7o5VdbX7\nSzqxqAwJwSougksX3T8Xr/73Aly8iFx57sryixfcnbNLX7YxxoCrB2ZoGqZrNNKlGyaotb07rpok\n0y4YBqViBqUily5BYQF8XgDFnyNflLpvK1NZDribpes5deVBUBAEfdlxC2r9VScuqDXmyrKg1u5y\ngUFXPf5yeatAjMO4j1/jcH8AMg73c3GJ2gH0A/Vtg/zq6tf169ezdu1ar+WrV6/G5XLZkOj2NMus\n3br7NkgddLU7wC3wp6xQ37wPN1CKurn9j9+Nr1m+FzQRs2fP9lo2efJkpk6dett1ahvUwFwuSB58\n0yL+NJi9Zb2vNy5/yupPmsx7QR35U976tkG1dsGdTielpaWeaUgty6KsrIyIiAivckVFX934r7i4\n2FPmdp+71sSJE1m6dGmNn+eff56pU6det6fa1BQWFmpWH9CsvuNPeTWrb/hTVvgq7/PPP+/VXkyc\nOLFedWsb1Hg0q+/4U17N6hv+lBX8K29DtUG1dtBCQ0OJjo4mMzMTcE8GEhMTU2N4I0BqaiobN25E\nRCgvLycnJ4fhw4fX67lrBQcHExkZWePnRp05pZRSLVdERIRXe1Gf4Y2gbZBSSqm6qW8bVKchjjNn\nziQjI4N169YRHBzMnDlzAFi0aBHTpk0jNjaWUaNGkZeXx9y5czHGMGXKFM+4/Nt9TimllFJKKaVa\nkjp10FwuFwsXLvRaPn/+fM9jh8PBjBkzrrv+7T6nlFJKKaWUUi2JTgOjlFJKKaWUUk1EwHPPPfec\n3SHqKzAwkISEBIKCguyOUivN6hua1Xf8Ka9m9Q1/ygqNn9ef/j6a1Tf8KSv4V17N6hv+lBX8K2+D\nZBVlq+nTp8uPf/zjRtlWXFycvPnmm42yLVV/ly9flqefflpSUlIkPj5etm7dKiIiv/rVr+TOO++U\n+Ph4+etf/2pzSv/QmK+zxrBkyRK55557avw+bty4etc7ZswYWbZsWb3rUf5D2yB1I9oGNRxtg+pG\n26Cv6BDHerhw4QKLFy/m3nvvJTk5meHDhzN58mRef/11u7lyYcAAACAASURBVKPVy+rVq5k0aRJJ\nSUkMHz6cxx9//Kblf/zjH/Ptb3+7kdK5LVu2jPT09EbdZl0kJCTwxhtvNEhdb7/9Nm+99RbLly8n\nMzOTQYMGkZuby/Lly/npT3/K5s2bue+++xpkW+PGjWPp0qUNUld9bd++nfj4eAoKChqszoyMDJ5+\n+ukGq68pMOarW7d/97vf5c9//nOd173Ra3bdunU8+uijDRFPNYLm1gYtXbqU+Ph4+vXrR3x8fI2f\n3bt333A9bYO+om1Q/WkbVDfaBvmWX92ouql59tln2bp1Kz/+8Y+Ji4ujsrKSffv2NeiLurEtXryY\ntWvX8v3vf59BgwZx6dIlDhw40CB1X7p0icDAwAapS0RqvDk0R0ePHqVz584kJyd7luXn5xMQEMCY\nMWNsTOZbDfl/e+WYCw0NbbC6GoKIICI4HA3zHVnbtm1p27ZtvesJCwtrgDSqsTS3Nui73/0u3/zm\nN2ss+7//9/+yf/9+BgwYUO/6tQ26NdoG1Z+2QbdG26Cr2Hfyzv8NHTpUXn/99VrLrV+/Xr7+9a9L\nYmKipKSkyMyZM6W8vFxEvjrtnZGRIWlpaZKSkiJPP/20nDt3rkYd//M//yNjx46VhIQEufvuu+V3\nv/tdjecrKyvlmWeekdTUVElMTJSHHnpIMjMza5SpbXjJsWPHpF+/frJ58+a6/glkyZIlEhcXJ/Hx\n8Z5/rwx5iIuLk9dee02efPJJGTJkiHzve98TEZHi4mKZN2+epKamyqBBg+Sb3/ym5OTk1Kj3xz/+\nsdx9992SlJQkY8eOlV//+tdy8eJFERH5y1/+4rXNJUuWiIj79PjixYvl2WeflSFDhsgdd9whr7/+\nuly4cEF+8pOfyLBhw2TkyJFe/29VVVXyk5/8REaOHCnJycny9a9/XTZs2OB5/uTJkxIXFydvvfWW\nPP7445KcnCxjx46VN954w1NmzJgxEh8fXyPXzbz22msyfvx4SUxMlHHjxsmyZcukurpaRNzHxdX7\nmJ6eLk8//bTXfl/xj3/8QyZNmiSJiYkyZswYWbRokZw9e7bG9l5//XW57777ZMCAAXLHHXfI3Llz\nr7ut+Ph4OXXq1HUzP/300/Loo4/Kq6++6vlbzZkzR0pLS2uUq+14feedd+RrX/uaJCcny9ChQ2XK\nlCmyb98+z9/5Spa4uDj51re+Vef9nD59uvzwhz+UxYsXS1pamtxxxx2e5VcPL7l06ZK8+OKLMnLk\nSElISJD77rtP/v73v9fIeKPj91pXhnr8/e9/l7Fjx0piYqI8+uijcuLECa8y69evl/Hjx0tCQoIc\nOnSoTvt04cIFWbBggQwZMkRSUlLk2WeflV/96lc1hpNcO9xERGTz5s3yyCOPSHJysgwZMkSmT58u\nx48fv+lr9urhJb/+9a/l3nvv9drfBQsWyLRp0zy/79q1Sx577DEZOHCgpKamyuzZs294/KiG1dza\noGtVVFTIwIEDZeXKlTcso22QtkHaBmkb1BzbIO2g1cOECRPk8ccfly+++OKGZdauXSsJCQmybNky\nycvLkwMHDshrr70mZWVlIuJ+0Q4dOlQWLVokR44ckU2bNsnQoUM9b/Yi7je15ORkWb16tRw7dkz+\n9Kc/SWJioqxdu9ZTZs6cOZKeni6bN2+Ww4cPy09/+lNJSEiQI0eOeMrU1ji+8sorkpSUJG+++aZM\nnDhRRowYIf/xH/8hBw8evOE6Z8+elaeeekq+8Y1vSElJiRQXF8uFCxc82xs+fLi8/vrrcvz4cTl6\n9KicP39e7rvvPpk7d67s2bNHjh8/Lr/97W8lMTFRDh8+LCIilmXJ4sWLJTc3V06dOiXvvfeejBgx\nwvM3OX/+vPzyl7+U0aNHe7Z55c1kzJgxMmzYMHn11Vfl+PHjsmzZMomPj5eZM2d6lv33f/+3xMfH\nS15enmc/pk+fLt/61rfkk08+kRMnTsjq1atlwIABkp2dLSJfNY533323/Otf/5Ljx4/LL3/5S+nf\nv78cO3ZMRERKSkqkf//+8oc//EGKi4uluLj4hn+3//qv/5IxY8bIu+++KydPnpQPP/xQxowZIy+/\n/LKIiJw5c0ZeeOEFGTt2rJSUlEhpaalUVFTI73//e0lISPDst4jIunXrJCUlRd588005efKk5OTk\nyIMPPig/+MEPPNt7+eWXZdCgQfLHP/5Rjh49Knv37vW8CX7xxReSnp4uP//5zz25Lcu6bu6nn35a\nBg8eLE888YQcOnRItm7dKuPGjZMnnnjCU6a247WoqEgSEhLklVdekZMnT8rhw4flH//4hxw8eFAs\ny5KNGzdKfHy87N69W4qLi+XMmTN13s/p06fL4MGD5dlnn5W8vDzPsXtt4/jCCy/I8OHD5e2335aj\nR4/Kb3/7W4mPj/f8f9/o+L2eJUuWyMCBA+WRRx6R3bt3y65du2TKlCkyadKkGmWSk5Nl+vTpsnPn\nTjl69KhUVVXVaZ8WLlwod955p7z33nty5MgReeGFF2Tw4MFejePVv2/evFn69esnixYtkv3798uR\nI0dk7dq1cuTIkZu+Zq9uHPPz8yU+Pl527NjhqffixYuSkpIif/rTn0RE5NChQzJw4EBZsmSJ5Ofn\ny8GDB+V73/ue3HvvvZ46le80tzboWq+99pokJiZ6ffi+mrZB2gZpG6RtUHNsg7SDVg/bt2+XMWPG\nSL9+/eSBBx6QZ555Rt59990aZUaPHi0/+clPbljH9OnT5cEHH6yx7NpvB+666y755S9/WaPMz372\nM7n77rtFROTo0aMSFxcnH330UY0yX//61+WHP/yh5/faGsdnn31WEhIS5N5775WPPvpIdu3aJd/7\n3vckJSVFSkpKbrjej370oxrfMF29vWsvil23bp3cddddnm/prvj2t78tP/vZz264jVdffbXGi/83\nv/mNpKene5UbM2aMzJo1y/O7ZVkyePBg+c///M8ay4YNG+b5BnPLli2SlJQkFRUVNeqaP3++p64r\njePV38JdvnxZBg4cKH/+8589y/r371/rRdPnzp2T5ORk2bRpU43lf/3rX2Xo0KGe36930e1f/vIX\nSUhI8NrnK29WV+Tk5EhcXJyUl5fL2bNnJSkpSV599dUbZrrnnntqfCC7kaeffloGDRoklZWVnmWZ\nmZkSFxfn+ZBQ2/G6d+/em35Dum3btus+X9t+irhfT9f7xu3qxvHcuXMyYMAAWbVqVY0ys2bNku98\n5zue3693/F7PkiVLJD4+Xo4fP+5Zlp+fL3FxcZKVleUp069fP/nss89uaZ/Onj0riYmJsmbNmhpl\nHnrooZs2jo888kiNY/5aN3rNXnuB9tSpU+W5557z/P72229LYmKi5wPL008/LU8++WSNOi5cuCDJ\nycle74Wq4TW3Nuha999/vzz11FO1ltM2SNsgbYO0DbqiubRBeg1aPQwePJh3332X3NxcduzYQU5O\nDnPnzmXUqFEsW7aM0tJSTp8+TVpa2k3r6devX43fO3fuTFZWFgCVlZV89tlnDB06tEaZYcOG8Yc/\n/IELFy5w+PBhjDFeZYYOHcrOnTvrvD+WZVFdXc2PfvQjRo4cCcAvfvELRo0axZtvvnlbF24mJibW\n+H337t0UFRUxZMiQGssvXbpUY/zy6tWrWbt2LadOneLs2bNUV1cjInXaZnx8vOexMYbw8HDi4uK8\nlpWWlnoyXbx40bPPV1y+fJno6Ogb1h0QEIDT6aS4uLhOua44dOgQ58+fZ86cOTWWW5bFpUuXKCsr\nq/M47NLSUgoKCnjhhRd44YUXajzncDg4duwYlmVx8eJF7rzzzlvKeSO9e/cmODjY8/vgwYMBOHz4\nMOHh4bUer3Fxcfw/9u4+Lqoy///46zoI3oygwKA43gF5m4WVQhbekJbpUlGraN/Wtq20thS3X7WZ\n9V3Ldl3abDcLqRbKvenG1pvvtrZWW1Gas1CSlpTmDTreFK4gUNyYd5zr9wc5Gw7KCAxnBj7Px6NH\ncOY657zPOMM1n7muc05SUhIpKSkkJSWRmJjIxIkTiY6ObtJxKqXYt2+f+xyVYcOGnTX/vn37OHny\nZIMZc3Jy6i07/fV7JhEREfTt29f9e0xMDOHh4ezevZvLLrsMgMjISHr27OnVMZ36twsODubEiRNc\nfPHF9R4fMWIE69evP2OerVu3cv/993uV/WxSU1N5+umnefjhh+nQoQNr1qzhiiuucJ9P8fnnn7N/\n/36PfMePH2ffvn3N3r84u7bWB/3Qpk2b2LVrF4888kiT1j9F+iBP0gdJH9TYMUkfZD0p0JrJMAwu\nuugiLrroIn72s5+xZs0a5s2bxyeffEJcXBxAoyebnn7Sp1IK0zSbnU2f44muPXr0AOC8885zLwsJ\nCaFfv35NPun89JNGTdPkvPPOIysry6Ntp06dAHjrrbd47LHH+OUvf0lCQgJdu3blrbfeYsmSJV7t\ns0OH+i9rpVSDy049x6ZpEhYWxqpVqzy2dfq/TUv8W53q5J955hmPzhege/fu57ythx9+mEsvvdTj\n8Z49e7J9+3Z3Vn9gGAYvvPACn3/+Ofn5+bzzzjv8/ve/55lnnmHcuHENruPNcZ7SpUuXRjM09N5o\n6MNXc056Pn17p+fy5pj27Nnj9YfC07XEv3dKSgoZGRl88MEHJCYmsn79ejIzM92Pm6ZJamoqd9xx\nh8e65/I6Fk3XlvqgH3rttdeIi4vz+BB7rqQP8iR9kPRBP3xc+iD/JAVaC4uLi0NrTXl5OSNHjiQ6\nOhqn00lycnKTtte1a1eio6MpKCio94dj48aN9OnTh44dOzJw4EAACgoKGDt2rLvNpk2bOP/8873e\n16lvFF0uFw6HA6j7FuKrr74iJSXljOsFBwd73UFccMEF/OMf/8BmsxEREdFgm02bNjFs2DBuueUW\n97Kvvvqqyfv0JlNlZSXHjh1jwIABzdpWcHAwtbW1Z20zYMAAOnbsyP79+z2+MT1XkZGR9OrVi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PLgmMe4kIIYQQQrQ3UqAJESD0sWPodW/CsItRod3OeX0VHIxKvQkA89VstNYtHVEIIYQQQjST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\n1bmGAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x258c6c0af510>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(4, 2, sharex=True, sharey=True)\n",
        "fig.set_size_inches(12, 10)\n",
        "fig.tight_layout()\n",
        "for i, ax in enumerate(axes):\n",
        "  sns.kdeplot(predictive_treatment_effects[:, 2*i].numpy(),\n",
        "              ax=ax[0], shade=True)\n",
        "  ax[0].title.set_text(\n",
        "      \"School {} treatment effect posterior predictive\".format(2*i))\n",
        "  sns.kdeplot(predictive_treatment_effects[:, 2*i + 1].numpy(),\n",
        "              ax=ax[1], shade=True)\n",
        "  ax[1].title.set_text(\n",
        "      \"School {} treatment effect posterior predictive\".format(2*i + 1))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ATOOfzg0HMII"
      },
      "outputs": [],
      "source": [
        "# The mean predicted treatment effects for each of the eight schools.\n",
        "prediction = np.mean(predictive_treatment_effects, axis=0)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MkwASzOLSgbs"
      },
      "source": [
        "We can look at the residuals between the treatment effects data and the predictions of the model posterior. These correspond with the plot above which shows the shrinkage of the estimated effects toward the population average."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ulqqNf_AHMBm"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "array([14.905351 ,  1.2838383, -5.6966295,  0.8327627, -2.3356671,\n",
              "       -2.0363257,  5.997898 ,  4.3731265], dtype=float32)"
            ]
          },
          "execution_count": 0,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "treatment_effects - prediction"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0KMqrBaGRo4S"
      },
      "source": [
        "Because we have a distribution of predictions for each school, we can consider the distribution of residuals as well."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "7j9RAYhIRDDz"
      },
      "outputs": [],
      "source": [
        "residuals = treatment_effects - predictive_treatment_effects"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "zW1RKYtBRIhd"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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jHwHo2rUrkyZNYvHixSxevBiz2czf//53Dh8+zF/+8heHj2fEiBH07duXhx9+mMcffxyt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Ozs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\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x258c63ac0310>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(4, 2, sharex=True, sharey=True)\n",
        "fig.set_size_inches(12, 10)\n",
        "fig.tight_layout()\n",
        "for i, ax in enumerate(axes):\n",
        "  sns.kdeplot(residuals[:, 2*i].numpy(), ax=ax[0], shade=True)\n",
        "  ax[0].title.set_text(\n",
        "      \"School {} treatment effect residuals\".format(2*i))\n",
        "  sns.kdeplot(residuals[:, 2*i + 1].numpy(), ax=ax[1], shade=True)\n",
        "  ax[1].title.set_text(\n",
        "      \"School {} treatment effect residuals\".format(2*i + 1))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PIReUYcT0CEZ"
      },
      "source": [
        "# Acknowledgements\n",
        "\n",
        "This tutorial was originally written in Edward 1.0 ([source](https://github.com/blei-lab/edward/blob/master/notebooks/eight_schools.ipynb)). We thank all contributors to writing and revising that version."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "g7cgoQ1XyqGv"
      },
      "source": [
        "# References\n",
        "1. Donald B. Rubin. Estimation in parallel randomized experiments. Journal of Educational Statistics, 6(4):377-401, 1981.\n",
        "2. Andrew Gelman, John Carlin, Hal Stern, David Dunson, Aki Vehtari, and Donald Rubin. Bayesian Data Analysis, Third Edition. Chapman and Hall/CRC, 2013."
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [
        "PIReUYcT0CEZ",
        "g7cgoQ1XyqGv"
      ],
      "name": "Eight_Schools.ipynb",
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
